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Finding the Fourth Proportional to 3,138.60, 4,701.06 and 2,271

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Solution

The fourth proportional to 3,138.60, 4,701.06 and 2,271 is: 3,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.60 : 4,701.06 = 2,271 : x
  2. Step 2: Convert to fraction form
    3,138.60/4,701.06 = 2,271/x
  3. Step 3: Cross multiply
    3,138.60x = 4,701.06 × 2,271
  4. Step 4: Simplify right side
    3,138.60x = 10,676,107.26
  5. Step 5: Solve for x
    x = 10,676,107.26/3,138.60
  6. Step 6: Final answer
    x = 3,401.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.